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Afficher davantage de fils d'Ariane
Michel Crucifix
tseries
Validations
63767df7
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63767df7
rédigé
Il y a 8 mois
par
Michel Crucifix
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add vcv18 example
parent
7247d71b
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notebook/Untitled.ipynb
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notebook/Untitled.ipynb
avec
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Voir le fichier @
63767df7
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "08c256f1-3d5a-49ea-b1f1-822c705c32e7",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Loading required package: gtseries\n",
"\n"
]
}
],
"source": [
"require(gtseries)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "88879a77-d891-4b2d-9785-7d9e8c0d95f4",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Loading required package: iceages\n",
"\n"
]
}
],
"source": [
"require(iceages)\n",
"data(models)\n",
"model <- models$vcv18\n",
"init <- c(12,0.,0.4)\n",
"times <- seq(-4e4, 0., 0.1) # time unit in this packages is 1000 years = 10 ka"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "c477ad5b-df31-49ec-96f2-7483da36acea",
"metadata": {},
"outputs": [],
"source": [
"# standard solution in ice ages, with 6 obliquity and 6 precession terms\n",
"Astro <- read_astro(6,6) \n",
"\n",
"trajectory <- propagate_d(model, times=times, init=init, par=model$spar, Astro)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "c47b678c-930a-44ef-b2d0-bcc5ecdd592c",
"metadata": {},
"outputs": [],
"source": [
"trajectory <- ts(trajectory, start = times[1]*10, deltat = 1)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "199f572e-38fe-47ac-9f20-872269abf31d",
"metadata": {},
"outputs": [
{
"data": {
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l2915kVcjo1k6wE0r0bcnMSpADeJX/k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\nv+TduUGKC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q21HJSPY09HMtfMGk1Nnw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EfKR1LoBnbUlAhpHHgkaPEB2M4YwYzU1J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\nAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"plot(trajectory[,1], xlim=c(-1e3,0))"
]
},
{
"cell_type": "raw",
"id": "e83c9689-79a0-4b28-84f9-040f3c33598e",
"metadata": {},
"source": [
"require(gtseries)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "eddee22d-bfb4-40bb-a009-2f59a1152172",
"metadata": {},
"outputs": [],
"source": [
"M <- mfft_real(trajectory[,1], nfreq=10)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "795d94ae-46c9-42a4-96d8-9058ff209056",
"metadata": {},
"outputs": [],
"source": [
"astroFreqs <- c(Astro$omepre, Astro$omeobl)/10.\n",
"astroFreqnames <- c(sprintf(\"p%s\", seq(along=Astro$omepre)),sprintf(\"o%s\", seq(along=Astro$omeobl))) \n",
"names(astroFreqs) <- astroFreqnames\n",
"tones <- attributeTones(M$Freq, astroFreqs)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "14b06778-5775-4bfc-9f08-a16c9c508c3b",
"metadata": {},
"outputs": [],
"source": [
"plot(M, labels=tones)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "612ded56-53be-400c-971a-0fa9b1b762bf",
"metadata": {},
"outputs": [],
"source": [
"Astro$omepre"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "00b4c33b-caf2-443c-b1de-cccd7f6773da",
"metadata": {},
"outputs": [],
"source": [
"astroFreqnames"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "bf2945fc-cbe0-48c4-85a2-a11cd8403003",
"metadata": {},
"outputs": [],
"source": [
"tones"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "509faec7-a7b0-44dc-9ca0-ddd2aba207d3",
"metadata": {},
"outputs": [],
"source": [
"print(M$Freq,5)\n",
"print(2*pi/M$Freq, 4)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "69c4cf20-605e-402c-8d63-c2fab9f01679",
"metadata": {},
"outputs": [],
"source": [
"print(astroFreqs, 5)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "2ebf1fb3-9797-4c16-891a-7ffc692623b5",
"metadata": {},
"outputs": [],
"source": [
".33111-0.26493"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "b3eb30b7-f52e-43f9-80f7-8308e87bbe71",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "R",
"language": "R",
"name": "ir"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "4.3.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
%% Cell type:code id:08c256f1-3d5a-49ea-b1f1-822c705c32e7 tags:
```
R
require
(
gtseries
)
```
%% Output
Loading required package: gtseries
%% Cell type:code id:88879a77-d891-4b2d-9785-7d9e8c0d95f4 tags:
```
R
require
(
iceages
)
data
(
models
)
model
<-
models
$
vcv18
init
<-
c
(
12
,
0
.
,
0.4
)
times
<-
seq
(
-4e4
,
0
.
,
0.1
)
# time unit in this packages is 1000 years = 10 ka
```
%% Output
Loading required package: iceages
%% Cell type:code id:c477ad5b-df31-49ec-96f2-7483da36acea tags:
```
R
# standard solution in ice ages, with 6 obliquity and 6 precession terms
Astro
<-
read_astro
(
6
,
6
)
trajectory
<-
propagate_d
(
model
,
times
=
times
,
init
=
init
,
par
=
model
$
spar
,
Astro
)
```
%% Cell type:code id:c47b678c-930a-44ef-b2d0-bcc5ecdd592c tags:
```
R
trajectory
<-
ts
(
trajectory
,
start
=
times
[
1
]
*
10
,
deltat
=
1
)
```
%% Cell type:code id:199f572e-38fe-47ac-9f20-872269abf31d tags:
```
R
plot
(
trajectory
[,
1
],
xlim
=
c
(
-1e3
,
0
))
```
%% Output
%% Cell type:raw id:e83c9689-79a0-4b28-84f9-040f3c33598e tags:
require(gtseries)
%% Cell type:code id:eddee22d-bfb4-40bb-a009-2f59a1152172 tags:
```
R
M
<-
mfft_real
(
trajectory
[,
1
],
nfreq
=
10
)
```
%% Cell type:code id:795d94ae-46c9-42a4-96d8-9058ff209056 tags:
```
R
astroFreqs
<-
c
(
Astro
$
omepre
,
Astro
$
omeobl
)
/
10
.
astroFreqnames
<-
c
(
sprintf
(
"p%s"
,
seq
(
along
=
Astro
$
omepre
)),
sprintf
(
"o%s"
,
seq
(
along
=
Astro
$
omeobl
)))
names
(
astroFreqs
)
<-
astroFreqnames
tones
<-
attributeTones
(
M
$
Freq
,
astroFreqs
)
```
%% Cell type:code id:14b06778-5775-4bfc-9f08-a16c9c508c3b tags:
```
R
plot
(
M
,
labels
=
tones
)
```
%% Cell type:code id:612ded56-53be-400c-971a-0fa9b1b762bf tags:
```
R
Astro
$
omepre
```
%% Cell type:code id:00b4c33b-caf2-443c-b1de-cccd7f6773da tags:
```
R
astroFreqnames
```
%% Cell type:code id:bf2945fc-cbe0-48c4-85a2-a11cd8403003 tags:
```
R
tones
```
%% Cell type:code id:509faec7-a7b0-44dc-9ca0-ddd2aba207d3 tags:
```
R
print
(
M
$
Freq
,
5
)
print
(
2
*
pi
/
M
$
Freq
,
4
)
```
%% Cell type:code id:69c4cf20-605e-402c-8d63-c2fab9f01679 tags:
```
R
print
(
astroFreqs
,
5
)
```
%% Cell type:code id:2ebf1fb3-9797-4c16-891a-7ffc692623b5 tags:
```
R
.33111-0.26493
```
%% Cell type:code id:b3eb30b7-f52e-43f9-80f7-8308e87bbe71 tags:
```
R
```
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